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Finding the Fourth Proportional to 334.96, 461.46 and 302.20

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Solution

The fourth proportional to 334.96, 461.46 and 302.20 is: 416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.96 : 461.46 = 302.20 : x
  2. Step 2: Convert to fraction form
    334.96/461.46 = 302.20/x
  3. Step 3: Cross multiply
    334.96x = 461.46 × 302.20
  4. Step 4: Simplify right side
    334.96x = 139,453.21
  5. Step 5: Solve for x
    x = 139,453.21/334.96
  6. Step 6: Final answer
    x = 416.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.